Fourier Series in Hindi Part 5

 Fourier Series Examples in Hindi #5 |Find Fourier Series of f(x)=|x| Interval -Pi to Pi |PTU|NP Bali

2. FOURIER COSINE SERIES A series is said to be FOURIER COSINE SERIES which contain Fourier arbitrary constant ao, an and bn=0 if f(x) should be even function and interval lie between –pi to pi.

2.1 EVEN FUNCTION
A function y = f(x) is said to be even, if f(-x) = f(x). The graph of the even function is always symmetrical about the y-axis.

3.FOURIER SINE SERIES A series is said to be FOURIER SINE SERIES which contain Fourier arbitrary constant bn and ao=an=0 if f(x) should be odd function and interval lie between –pi to pi.

ODD FUNCTION OF FOURIER SERIES
A function y=f(x) is said to be odd, if f(-x) = – f(x). The graph of the odd function is always symmetrical about the origin. For example, the function f(x) = in [-1,1] is even as f(-x) = = f(x) and the function f(x) = x in [-1,1] is odd as f(-x) = -x = -f(x).
 

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